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Popular >

integral of 4-x-y

Solution

\int 4 - x - y d y

Solution

4 y - x y - \frac{y ^{2}}{2} + C

Solution steps

\int 4 - x - y d y

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 4 d y - \int x d y - \int y d y

\int 4 d y = 4 y

\int x d y = x y

\int y d y = \frac{y ^{2}}{2}

= 4 y - x y - \frac{y ^{2}}{2}

Add a constant to the solution

= 4 y - x y - \frac{y ^{2}}{2} + C

Popular Examples

integral of 1/(e^{2x+1)}

\int \frac{1}{e ^{2 x + 1}} d x

integral of cos^3(2θ)

\int cos^{3} (2 θ) d θ

integral of cos(xy^2)

\int cos (x y^{2}) d x

integral of ln(x+1)-ln(x)

\int ln (x + 1) - ln (x) d x

integral of 5/(sqrt(x^2+25))

\int \frac{5}{x ^{2} + 25} d x

Frequently Asked Questions (FAQ)

What is the integral of 4-x-y ?
The integral of 4-x-y is 4y-xy-(y^2)/2+C